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AlekseyPX
3 years ago
10

In the following figure, select whether the green and red graphics are functions or not

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
5 0

Answer:

  C. green is not a function, red is a function

Step-by-step explanation:

A curve does not describe a functional relationship if a vertical line crosses it in more than one place. Clearly the y-axis crosses the green curve in 2 places, so it is NOT a function.

There is a very steep section at x=10 on the red curve. It we assume it is simply "very steep" and not "vertical", then the red curve IS a function. If you assume that short section is vertical, then the red curve is not a function, either. My choice is to go with "very steep," not "vertical."

My conclusion is that green is not a function; red is a function.

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Both are 2! 2x2=4 4x2=8 so 8+4=12
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Which equation describes the statement shown?
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Y=2x+1
x is the input, so the 2x will make it twice the input, and the +1 will make it one more, therefore y(the output) is one more than twice the input :)
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3 years ago
A person takes a trip, driving with a constant speed of 89.5km/h, except for a 22min rest stop. If the person's average speed is
Marizza181 [45]
<span>Call x the distance traveled V = x / t = 89.5 = x / t => x = 89.5t Rest time in hours = 22min * 1 h / 60 min = 11/30 h Total time spent on the trip = t + 11/30 => Average speed = 77.8 = x / (t + 11/30)=> x = 77.8 (t + 11/30) => 89.5t = 77.8 (t + 11/30) => 89.5t = 77.8t + 77.8 * 11/30 => 89.5 – 77.8t = 28.527 => 11.7 t = 28.527 => t = 28.527 / 11.7 => t = 2.44 h => t + 11/30 = 2.81 h => x = 89.5t = 89.5 * 2.44 = 218.3 km Answers: a) 2.81 h; b) 218.3 h </span>
5 0
3 years ago
The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample
Wittaler [7]

Answer:

The 95% confidence interval for the difference is (-0.1888, 0.0202).

Step-by-step explanation:

Difference between proportions:

The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So

In a sample of 86 units made with gold wire, 68 met the specification

This means that:

pX = \frac{68}{86} = 0.7907

sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439

In a sample of 120 units made with aluminum wire, 105 met the specification.

This means that:

pY = \frac{105}{120} = 0.875

sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302

Difference:

p = pX - pY = 0.7907 - 0.875 = -0.0843

s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533

Confidence interval:

p \pm zs

In which z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}, with \alpha being 1 subtracted by the confidence level.

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Lower bound of the interval:

p - zs = -0.0843 - 1.96*0.0533 = -0.1888

Upper bound of the interval:

p + zs = -0.0843 + 1.96*0.0533 = 0.0202

The 95% confidence interval for the difference is (-0.1888, 0.0202).

6 0
3 years ago
Geometry: How do you know if a triangle is a dilation of another triangle?
solong [7]

If you can multiply or divide the original triangle to equal the second triangle, and if the angles are the same, then it is a dilation

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